Limits, Continuity and Differentiability PYQs - Last 10 Years
WB JEE / Mathematics / Calculus / 57 recent questions
MathematicsCalculus2017-2026
Practice 57 WB JEE Mathematics questions from Limits, Continuity and Differentiability. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
57
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Mathematics / Calculus
2017-2026
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27
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2022-2026
57
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2017-2026
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57PYQs
MCQ89.5%
MCQM10.5%
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#1 Unknown57
27 in last 5 years57 in last 10 years
Last 10 Years Limits, Continuity and Differentiability Questions
Showing 7 of 57 filtered questions.
1Limits Continuity And Differentiability
Let \(f(x) = 3{x^{10}} - 7{x^8} + 5{x^6} - 21{x^3} + 3{x^2} - 7\). Then \(\mathop {\lim }\limits_{h \to 0} {{f(1 - h) - f(1)} \over {{h^3} + 3h}}\)
MCQ+1 / -0.252018
2Limits Continuity And Differentiability
Let for all x > 0, \(f(x) = \mathop {\lim }\limits_{n \to \infty } n({x^{1/n}} - 1)\), then
MCQ+2 / -0.52017
3Limits Continuity And Differentiability
Consider the non-constant differentiable function f one one variable which obeys the relation \({{f(x)} \over {f(y)}} = f(x - y)\). If f' (0) = p and f' (5) = q, then f' (\(-\)5) is
MCQ+1 / -0.252017
4Limits Continuity And Differentiability
If f'' (0) = k, k \(\ne\) 0, then the value of \(\mathop {\lim }\limits_{x \to 0} {{2f(x) - 3f(2x) + f(4x)} \over {{x^2}}}\) is
MCQ+1 / -0.252017
5Limits Continuity And Differentiability
Let f : R \(\to\) R be twice continuously differentiable. Let f(0) = f(1) = f'(0) = 0. Then,
MCQM+2 / -02017
6Limits Continuity And Differentiability
\(\mathop {\lim }\limits_{x \to 0} {(\sin x)^{2\tan x}}\) is equal to
MCQ+1 / -0.252017
7Limits Continuity And Differentiability
Let \(f(x) = \left\{ {\matrix{
{{{{x^p}} \over {{{(\sin x)}^q}}},} & {if\,0 < x \le {\pi \over 2}} \cr
{0,} & {if\,x = 0} \cr
} } \right.\), \((p,q \in R)\). Then, Lagrange's mean value theorem is applicable to f(x) in closed i...
MCQ+1 / -0.252017